Karl Popper and David Miller [1983] have argued that there is no such thing as probabilistic inductive support, as conceived of, for example, in the Bayesian theory of evidence. A little more specifically, they argue that 'all probabilistic support is purely deductive' (p. 688), and that only probabilistic countersupport (disconfirmation) could be inductive in nature. Their interesting and stri...

Previous work suggests that inductive and deductive reasoning may be accomplished by different processes. Here, we examine whether different phenomena of inductive reasoning, previously explained in the same way, may rely on different types of processes. In Experiment 1 we show that trials which examine sensitivity to sample size in inductive reasoning have greater effects on secondary task per...

This paper is a chapter of the Handbook of Automated Reasoning edited by Voronkov and Robinson. It describes techniques for automated reasoning in theories containing rules of mathematical induction. Firstly, inductive reasoning is defined and its importance fore reasoning about any form of repitition is stressed. Then the special search problems that arise in inductive theories are explained f...

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We consider a language containing partial predicates for subjective knowability and truth. For this language, inductive hierarchy rules are proposed which build up the extension and anti-extension of these partial predicates in stages. The logical interaction between the extension of the truth predicate and the anti-extension of the knowability predicate is investigated.

Despite the fact that the reductio ad absurdum argument is a valid deductive form, while the slippery slope argument is most often presented as a fallacious form of inductive argument, the two argument types bear some striking similarities. Investigation of these similarities reveals some more universal difficulties in the teaching of informal logic, and, in particular the difference between st...

A regular inductive limit of sequentially complete spaces is sequentially complete. For the converse of this theorem we have a weaker result: if indEn is sequentially complete inductive limit, and each constituent space En is closed in indEn, then indEn is α-regular.